A representation formula of sum rules for zeros of polynomials
β Scribed by Paolo Emilio Ricci
- Book ID
- 118293961
- Publisher
- Springer Milan
- Year
- 1992
- Tongue
- Italian
- Weight
- 320 KB
- Volume
- 41
- Category
- Article
- ISSN
- 0009-725X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We establish some representations for the smallest and largest zeros of orthogonal polynomials in terms of the parameters in the three-terms recurrence relation. As a corollary we obtain representations for the endpoints of the true interval of orthogonality. Implications of these results for the de
The zeros of the Meixner polynomial m n (x; ;, c) are real, distinct, and lie in (0, ). Let : n, s denote the s th zero of m n (n:; ;, c), counted from the right; and let :Γ n, s denote the sth zero of m n (n:; ;, c), counted from the left. For each fixed s, asymptotic formulas are obtained for both